Newton-Okounkov bodies of exceptional curve valuations

DOI10.4171/rmi/1195zbMath1476.14019arXiv1705.03948OpenAlexW3010914580MaRDI QIDQ1998699

Julio José Moyano-Fernández, Matthias Nickel, Francisco Monserrat, Carlos Galindo Pastor

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03948

zbMATH Keywords

flagsNewton-Okounkov bodiesnon-positive at infinity valuationsexceptional curve valuations

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20)

Related Items (5)

The effective monoids of some blow-ups of Hirzebruch surfaces ⋮ Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces ⋮ A survey of Riemann-Roch-type theorems ⋮ Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces ⋮ Discrete equivalence of non-positive at infinity plane valuations

Cites Work

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• Local positivity in terms of Newton-Okounkov bodies
• Convex bodies appearing as Okounkov bodies of divisors
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Positivity of line bundles and Newton-Okounkov bodies
• The cone of curves and the Cox ring of rational surfaces given by divisorial valuations
• The semigroup of values of a curve singularity with several branches
• Algebroid curves in positive characteristic
• Note on the Hilbert polynomial of a spherical variety
• Saturation for valuations on two-dimensional regular local rings
• Newton-Okounkov bodies sprouting on the valuative tree
• Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture
• Local positivity of linear series on surfaces
• The valuative tree
• Brunn-Minkowski inequality for multiplicities
• Vanishing sequences and Okounkov bodies
• Infinitesimal Newton-Okounkov bodies and jet separation
• Valuations in Function Fields of Surfaces
• ON RATIONAL CUSPIDAL PROJECTIVE PLANE CURVES
• Convex bodies associated to linear series
• Minimal plane valuations
• Geometric aspects of Newton–Okounkov bodies
• Newton–Okounkov Bodies of Exceptional Curve Plane Valuations Non-positive at Infinity

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